Answer:
160 2p coins
Step-by-step explanation:
3/8 x 640 = 240 = 1p coins
240 = 5p coins
240 + 240 = 480
640 - 480 = 160
Answer:
The 39th triangle number is 780
Answer:
x=-5.25
y=13.75
Step-by-step explanation:
5x+3(-3x-2)=15
5x+-9x+-6=15
-4x+-6=15
-4x+-6+6=15+6
-4x=21
Answer:
0.0498 = 4.98%
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.
Each minute has 60 seconds.
So a rate of 1 inquire each 4 seconds.
The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately
Mean of 1 inquire each 4 seconds, so for 12 seconds 
This probability is P(X = 0).


Answer:
x = 34
Step-by-step explanation:
∠ PSR and ∠ TSU are vertical angles and congruent, then
∠ PSR = 4x, thus ∠ PSQ = x
The exterior angle of a triangle is equal to the 2 opposite interior angles.
∠ SQR is an exterior angle of Δ PQS , thus
x + x = 68
2x = 68 ( divide both sides by 2 )
x = 34